538 citations
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Showing 2006 · math.AGShow all
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math.AG2006★ 40 cited
Abelian Functions for Cyclic Trigonal Curves of Genus Four
S. Baldwin, J. C. Eilbeck, J. Gibbons +1
We discuss the theory of generalized Weierstrass and functions defined on a trigonal curve of genus four, following earlier work on the genus three case. The specific exa…
math.AG2006★ 19 cited
Abelian Functions for Trigonal Curves of Genus Three
J. C. Eilbeck, V. Z. Enolski, S. Matsutani +2
We develop the theory of generalized Weierstrass sigma- and \wp-functions defined on a trigonal curve of genus three. In particular we give a list of the associated partial differe…